Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations. Stanford professor Keith Devlin offers insight on Dantzig's influence.

The computational results on problems with up to 2750 variables strongly confirm our hypothesis that a combination of problem preprocessing, cutting planes, and clever branch-and-bound techniques ...